“Frozen” only hit store shelves on Tuesday, but Walt Disney’s animated smash is already the bestselling kids’ movie of all time on Amazon.com.

It’s not clear exactly how large those numbers are, because Amazon was vague about how many Blu-ray and DVDs it had moved since “Frozen” began pre-sales on November 27, 2013. Amazon did say that the figure does not include digital downloads, just physical copies of the film.

Digital sales will be an intriguing rubric. Disney took the unusual step of offering up the film for digital download while “Frozen” was still in the box office Top 1o — more than a month before the film hit store shelves. The digital release was part of a larger initiative by Disney to draw attention to their iTunes-powered Disney Movies Anywhere service, which allows viewers to watch over 400 titles from the Disney, Marvel and Pixar collections.

Disney became the first movie studio to partner with Apple on its cloud service.

Other titles rounding out Amazon’s Top 5 bestsellers include: “Despicable Me,” “Harry Potter and the Half-Blood Prince,” “Harry Potter and the Deathly Hallows: Part I” and “Harry Potter and the Deathly Hallows: Part II.”

“Frozen” racked up Oscars for Best Original Song and Best Animated Feature as it became one of the biggest global hits in Disney history, grossing more than $1 billion worldwide.

Thanks to a strong opening in Japan this month, the film is on pace to be the most successful in Disney’s history, surpassing “Toy Story 3.”

Here’s a list of Amazon’s top-selling family titles since 2001. We will update with more specific numbers as soon as Amazon provides them.